22.

28.

24.
25.

26.

27.

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3 D 12089

The ranks of the same 16 students in Economics and Statistics are as follows. Two numbers within
brackets denote the ranks if the students in Economics and Statistics. (1, 1) (2, 10) (3, 3) (4, 4)
(5, 5)(6, 7) (7, 2) (8, 6) (9, 8) (10, 11) (11, 15) (12, 9) (18, 14) (14, 12) (15, 16) (16, 13). Calculate the
rank correlation co-efficient for proficiencies of this group in Economics and Statistics.

The following table gives the aptitude test scores and productivity indices of 10 workers selected at
random :

Aptitude Index (X) : 60 62 65 70 72 48 53 73 65 82
Productivity Index (Y) : 68 60 62 80 85 40 52 62 60 81

Calculate the two regression equations and estimate the productivity index of a worker whose test
score is 92.

(5 x 6 = 30 marks)
Section C (Long Essay Questions)

Answer any two questions.
Each question carries 10 marks.

Briefly explain different types of functions and its applications in Economic analysis.

Solve the following system of linear equations using matrix inversion method :

2x+3y-z=9
x+ y+z=6
38x- y-z=-1.

Calculate the Mean and Standard Deviation from the following data :

Frequency

What is Linear Regression ? Explain in detail the estimation procedure of Principle of Ordinary
Least Squares.

(2 x 10 = 20 marks)

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